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Finding the Third Proportional to 63,478,256 and 128,741,374

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Solution

The third proportional to 63,478,256 and 128,741,374 is: 261,102,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,478,256 : 128,741,374 = 128,741,374 : x
  2. Step 2: Convert to fraction form
    63,478,256/128,741,374 = 128,741,374/x
  3. Step 3: Cross multiply
    63,478,256x = 128,741,374 × 128,741,374
  4. Step 4: Simplify right side
    63,478,256x = 16,574,341,379,407,876
  5. Step 5: Solve for x
    x = 16,574,341,379,407,876/63,478,256
  6. Step 6: Final answer
    x = 261,102,658.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.